38002314534912 has 1008 divisors, whose sum is σ = 139194981198000. Its totient is φ = 9900818694144.

The previous prime is 38002314534911. The next prime is 38002314534953. The reversal of 38002314534912 is 21943541320083.

It is a happy number.

38002314534912 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 23 + 1 + 4 + 534 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38002314534911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898068214 + ... + 3898077962.

It is an arithmetic number, because the mean of its divisors is an integer number (138090259125).

Almost surely, 2^{38002314534912} is an apocalyptic number.

38002314534912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38002314534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69597490599000).

38002314534912 is an abundant number, since it is smaller than the sum of its proper divisors (101192666663088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38002314534912 is a wasteful number, since it uses less digits than its factorization.

38002314534912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 38002314534912 its reverse (21943541320083), we get a palindrome (59945855854995).

The spelling of 38002314534912 in words is "thirty-eight trillion, two billion, three hundred fourteen million, five hundred thirty-four thousand, nine hundred twelve".